Showing that the conditional and contrapositive are logically equivalent

The video tutorial explains logical equivalence using a birthday example. It covers conditional statements and their contrapositive, demonstrating how they are logically equivalent. The instructor uses January 31st as a reference point to illustrate these concepts, emphasizing the importance of understanding logical equivalence in reasoning.

What does the speaker mean by saying 'their truth is exactly the same'?

Why is it important for the audience to understand the concepts discussed?